On $(q^2+q+1)$-Sets of Plane-Type $(m, n, r)_2$ in $\mathrm{PG}(3, q)$

Year 2022, Volume: 15 Issue: 1, 79 - 82, 30.04.2022

Vito Napolitano

https://doi.org/10.36890/iejg.1049258

Abstract

In this paper $(q^2+q+1)$-sets of points in $PG(3,q)$ of type $(m,n,r)$ with respect to planes are studied, and as a by-product for $q$ odd a characterization of quadratic cones is obtained.

Keywords

Projective spaces, intersection numbers, oval, quadratic cone

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